The compound inequality of 4v + 2 > -2 or 3v - 5 < 7 is -1 < v < 4
<u>Solution:</u>
Need to solve following compound equality.
4v + 2 > -2 ------(1)
3v – 5 < 7 ------(2)
Lets first solve (1)
4v + 2 > -2
=> 4v > - 2 - 2
=> 4v > -4
=> v > -1 ------condition 1
On solving second equation we get,
3v – 5 < 7
=> 3v < 7 + 5
=> 3v < 12
=> v < 4 ------condition 2
From condition 1 and 2 we get, -1 < v < 4
Hence on solving given compound inequalities we get -1 < v < 4.
That is v must be between -1 and 4 to satisfy both inequalities
